Solving Non-Uniqueness in Agglomerative Hierarchical Clustering Using Multidendrograms

In agglomerative hierarchical clustering, pair-group methods suffer from a problem of non-uniqueness when two or more distances between different clusters coincide during the amalgamation process. The traditional approach for solving this drawback has been to take any arbitrary criterion in order to break ties between distances, which results in different hierarchical classifications depending on the criterion followed. In this article we propose a variable-group algorithm that consists in grouping more than two clusters at the same time when ties occur. We give a tree representation for the results of the algorithm, which we call a multidendrogram, as well as a generalization of the Lance andWilliams’ formula which enables the implementation of the algorithm in a recursive way. The authors thank A. Arenas for discussion and helpful comments. This work was partially supported by DGES of the Spanish Government Project No. FIS2006–13321–C02–02 and by a grant of Universitat Rovira i Virgili.     

博达国际大厦12 500m3大体积砼裂缝控制

结合具体工程实例，从砼设计、控制理论计算、原材料使用、砼浇筑和养护以及信息化施工等方面介绍了防止砼产生裂缝的措施，最大限度地解决了大体积砼的温度裂缝问题，取得了较好的效果。     

构建层次化教学体系,培养学生创新能力--我院物理实验教学改革的实际与成效

结合我院近一两年物理实验教学改革的实际，阐述了在普通高校中如何根据自身的特点开展物理实验教学改革，以及我们在改革中所取得的初步成果。     

E~n中Euler不等式的另一改进

M.S.Klamkin在文[1]中获得了E~n中之Euler不等式,本文给出了E~n中Euler不等式的改进。     

关于化学位和化学反应等温式几个问题的讨论

讨论了化学位的意义和化学反应等温式的应用条件;△G_m=∑υ_iμ_i≤0,△G_m(T,P,W′=0)≤0、—△G_m(ξ)=—∑υ_iμ_i≥W′和-△G_m(T,P)≥W′作判据的异同和各自使用条件。     

期货交易量和现货交易量在发电公司计划中的经济分配

首先运用投资组合理论和线性规划的方法，建立了发电公司在完成计划交易电量下的利润模型，应用函数求导的单调性判别法，分析讨论期货电量和现货电量之间的不同比例对发电公司利润的影响，并对成本价格进行了相关的探讨。     

On analytical treatment of all boundary and volume integrals in BEM

In this paper, the integrals appeared in BEM model for Poisson equation are all implemented analytically. Wherein, the boundary and the domain are discretized by linear boundary elements and linear internal triangle cells respectively. The closed formulations for all integrals are presented so that the computer effort for numerical solution is reduced considerably with higher accuray. The numerical example shows that the results are more accurate in comparision with Gaussian integration in the same discrezition. The basic idea of this paper could be extended to BEM model for Helmholtz equation and/or the time-dependent second other differential equations. Supported by the National Natural Science Foundation of China Tang Shaowu: born in 1971, Ph. D.     

具有排除体积的两维高分子链的静态标度律

运用四位置模型对具有排除体积的两维高分子链进行ＭｏｎｔｅＣａｒｌｏ模拟和标度分析,为了提高长链的抽样效率,还提出了被称为“链段伸展法”的抽样方法。对单个自避行走链的模拟结果表明,两维ＳＡＷ链有育明显不同于夫规飞行链以及三维ＳＡＷ链的特点。